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Finding the Third Proportional to 23,696,282,382 and 49,353,891,996

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Solution

The third proportional to 23,696,282,382 and 49,353,891,996 is: 102,792,776,347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696,282,382 : 49,353,891,996 = 49,353,891,996 : x
  2. Step 2: Convert to fraction form
    23,696,282,382/49,353,891,996 = 49,353,891,996/x
  3. Step 3: Cross multiply
    23,696,282,382x = 49,353,891,996 × 49,353,891,996
  4. Step 4: Simplify right side
    23,696,282,382x = 2,435,806,655,152,832,643,072
  5. Step 5: Solve for x
    x = 2,435,806,655,152,832,643,072/23,696,282,382
  6. Step 6: Final answer
    x = 102,792,776,347.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.